Learning Outcomes
MTH 254

1. Represent vectors both algebraically and geometrically and be able to use vector methods effectively in problem solving.
2. Use the dot and cross product to solve problems in a geometrical or physical setting.
3. Apply partial derivatives, directional derivatives, and gradients to solve problems of multivariable differential calculus such as max-min problems and rates of change of physical processes in space.
4. Evaluate multiple integrals in rectangular, polar, spherical, and cylindrical coordinates.
5. Use vector functions to analyze particle motion (position vectors, components of acceleration) and to represent curves parametrically.
6. Integrate and differentiate vector functions.